What is the total braking distance for a car that is going 60km/h on wet road (0.10)? The drivers reaction time is 1.5 seconds.

To calculate the total braking distance for a car, we need to consider two factors: the braking distance due to the driver's reaction time and the braking distance due to the car's deceleration.

First, let's calculate the braking distance due to the driver's reaction time:

The driver's reaction time is given as 1.5 seconds. During this time, the car will continue to travel at its initial speed of 60 km/h. To convert this speed to meters per second, we divide it by 3.6 (since 1 km/h = 0.2778 m/s).

60 km/h ÷ 3.6 = 16.67 m/s (approx.)

So, during the driver's reaction time of 1.5 seconds, the car will travel:

16.67 m/s × 1.5 s = 25 meters (approx.)

Next, let's calculate the braking distance due to the car's deceleration:

The braking distance depends on the deceleration (or braking force) of the car and the time taken to stop. The deceleration for a car on a wet road is typically given as a constant, known as the "coefficient of friction." In this case, the coefficient of friction is 0.10.

Using the equation:

Braking distance = (initial velocity)^2 / (2 × deceleration)

We can substitue the values:

Braking distance = (16.67 m/s)^2 / (2 × 0.10)

Calculating this we get:

Braking distance = 62.56 meters (approx.)

Now, to find the total braking distance, we add the braking distance due to the driver's reaction time to the braking distance due to the car's deceleration:

Total braking distance = 25 meters + 62.56 meters

Total braking distance = 87.56 meters (approx.)

Therefore, the total braking distance for a car going 60 km/h on a wet road with a coefficient of friction of 0.10, with a driver's reaction time of 1.5 seconds, is approximately 87.56 meters.